A duality map for quantum cluster varieties from surfaces
- 주제(키워드) Cluster variety , Quantization , Canonical basis , Skein algebra
- 주제(기타) Mathematics
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 ACADEMIC PRESS INC ELSEVIER SCIENCE
- 발행년도 2017
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000162142
- 본문언어 영어
- Published As http://dx.doi.org/10.1016/j.aim.2016.11.007
초록/요약
We define a canonical map from a certain space of laminations on a punctured surface into the quantized algebra of functions on a cluster variety. We show that this map satisfies a number of special properties conjectured by Fock and Goncharov. Our construction is based on the "quantum trace" map introduced by Bonahon and Wong. (C) 2016 Elsevier Inc. All rights reserved.
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